Plugins deleting profiles via `cli.exec ['profile','delete',…]` bypass the
Electron-side DELETE /api/profiles interception (prepareProfileDeleteRequest),
so a live pool backend — e.g. one the roster's hover pre-warm just woke —
holds the profile dir open and the renderer's reconnect respawns it
mid-delete, recreating the directory (#52279). Bot Mode's right-click Delete
hits this every time because right-click hovers the row first.
Add host.deleteProfile(name) to the plugin SDK: routes through the same
teardown-routed REST path core's DeleteProfileDialog uses (backend teardown
first, next request routed away), rejects on 'default', and re-homes the app
to the default profile when the deleted profile was the live gateway's —
mirroring the core dialog's ordering.
Reported by @BkashJosi (Bot Mode: deleting a bot errors while its session
is awake).